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The phrase "also work out" is correct and usable in written English.
It can be used when discussing the effectiveness or success of a plan, idea, or situation in addition to other considerations.
Example: "While the initial proposal was rejected, we believe that the alternative solution will also work out in our favor."
Alternatives: "turn out well" or "be successful".
Exact(34)
We will also work out how we can develop a formal system of job exchanges between the two areas.
We can hope that if everything works out for Ukraine, then someday it will also work out for Russia.
If I did that, I had a record, yes, but I'd also work out what I thought.
Fiat must also work out an agreement with its labor unions, and it met with union leaders today.
Nao can also work out where his human companions are looking, follow their gaze and memorise different people's faces.
Ms. Cooper said that several other local school districts have asked if they could also work out a cooperative program with the Ross kitchen, but she has declined.
Similar(26)
She also works out twice a week.
They also worked out their quirks.
It also worked out well for Italy — for a while.
I also worked out on the ramps in the back.
Kissing away our kids' booboos also worked out well, and also produced fine young adults.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com